What is (sqrt(3))/(sqrt(7)+\sqrt{3)} ?

The solution to (sqrt(3))/(sqrt(7)+\sqrt{3)} is (sqrt(21)-3)/4

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simplify (sqrt(3))/(sqrt(7)+\sqrt{3)}

simplify

\frac{3}{7 + 3}

\frac{21 - 3}{4}

Decimal Notation

0.39564 \dots

Solution steps

\frac{3}{7 + 3}

Multiply by the conjugate

\frac{7 - 3}{7 - 3}

= \frac{3 ( 7 - 3 )}{( 7 + 3 ) ( 7 - 3 )}

Expand

3 (7 - 3) : 21 - 3

Expand

(7 + 3) (7 - 3) : 4

= \frac{21 - 3}{4}

t (t + 5 + 6) = 0

7^{2} + 7^{2}

2 y^{2} - 5 y + 2

\frac{a + 2}{3} = 3 a - 4

\frac{100}{100 - 4}

What is (sqrt(3))/(sqrt(7)+\sqrt{3)} ?
The solution to (sqrt(3))/(sqrt(7)+\sqrt{3)} is (sqrt(21)-3)/4